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Finding the Fourth Proportional to 122,960.64, 184,422.60 and 34,204.98

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Solution

The fourth proportional to 122,960.64, 184,422.60 and 34,204.98 is: 51,302.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,960.64 : 184,422.60 = 34,204.98 : x
  2. Step 2: Convert to fraction form
    122,960.64/184,422.60 = 34,204.98/x
  3. Step 3: Cross multiply
    122,960.64x = 184,422.60 × 34,204.98
  4. Step 4: Simplify right side
    122,960.64x = 6,308,171,344.55
  5. Step 5: Solve for x
    x = 6,308,171,344.55/122,960.64
  6. Step 6: Final answer
    x = 51,302.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.